3946459968 has 672 divisors, whose sum is σ = 14378757120. Its totient is φ = 1058365440.

The previous prime is 3946459939. The next prime is 3946459973. The reversal of 3946459968 is 8699546493.

3946459968 is a `hidden beast` number, since 3 + 94 + 6 + 459 + 96 + 8 = 666.

It is a super-2 number, since 2×3946459968² = 31149092558053122048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66889123 + ... + 66889181.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 2^3946459968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189378560).

3946459968 is an abundant number, since it is smaller than the sum of its proper divisors (10432297152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3946459968 is a wasteful number, since it uses less digits than its factorization.

3946459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The square root of 3946459968 is about 62820.8561546243. The cubic root of 3946459968 is about 1580.2867566908.

The spelling of 3946459968 in words is "three billion, nine hundred forty-six million, four hundred fifty-nine thousand, nine hundred sixty-eight".